Pauly, Dirk Solution theory, variational formulations, and functional a posteriori error estimates for general first order systems with applications to electro-magneto-statics and more. (English) Zbl 1429.35048 Numer. Funct. Anal. Optim. 41, No. 1, 16-112 (2020). MSC: 35F35 35J46 47A05 47A50 65N15 78A25 78A30 PDF BibTeX XML Cite \textit{D. Pauly}, Numer. Funct. Anal. Optim. 41, No. 1, 16--112 (2020; Zbl 1429.35048) Full Text: DOI arXiv OpenURL
Dratman, Ezequiel; Matera, Guillermo Improved bounds for the inverses of diagonally dominant tridiagonal matrices. (English) Zbl 1418.65063 Linear Algebra Appl. 551, 57-82 (2018). MSC: 65F50 65F05 15A09 15A45 15B48 PDF BibTeX XML Cite \textit{E. Dratman} and \textit{G. Matera}, Linear Algebra Appl. 551, 57--82 (2018; Zbl 1418.65063) Full Text: DOI OpenURL
Aslanova, Nigar M.; Bayramoglu, Mamed; Aslanov, Khalig M. Eigenvalue problem associated with the fourth order differential-operator equation. (English) Zbl 1404.34075 Rocky Mt. J. Math. 48, No. 6, 1763-1779 (2018). MSC: 34G10 34L05 34L20 47A05 34B09 34L15 PDF BibTeX XML Cite \textit{N. M. Aslanova} et al., Rocky Mt. J. Math. 48, No. 6, 1763--1779 (2018; Zbl 1404.34075) Full Text: DOI Euclid OpenURL
Pauly, Dirk; Yousept, Irwin A posteriori error analysis for the optimal control of magneto-static fields. (English) Zbl 1383.35223 ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2159-2191 (2017). MSC: 35Q61 78A25 78A30 65N15 47A05 35F05 35F15 49K20 78M10 PDF BibTeX XML Cite \textit{D. Pauly} and \textit{I. Yousept}, ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2159--2191 (2017; Zbl 1383.35223) Full Text: DOI arXiv OpenURL
Buranay, Suzan C.; Subasi, Dervis; Iyikal, Ovgu C. On the two classes of high-order convergent methods of approximate inverse preconditioners for solving linear systems. (English) Zbl 1424.65021 Numer. Linear Algebra Appl. 24, No. 6, e2111, 28 p. (2017). Reviewer: Fazlollah Soleymani (Zanjan) MSC: 65F08 15A09 PDF BibTeX XML Cite \textit{S. C. Buranay} et al., Numer. Linear Algebra Appl. 24, No. 6, e2111, 28 p. (2017; Zbl 1424.65021) Full Text: DOI OpenURL
Cheng, Sui Sun; Yueh, Wen-Chyuan Inverses of tridiagonal matrices under simple perturbations. (English) Zbl 1299.15003 Southeast Asian Bull. Math. 37, No. 5, 659-681 (2013). MSC: 15A09 65L10 65L70 PDF BibTeX XML Cite \textit{S. S. Cheng} and \textit{W.-C. Yueh}, Southeast Asian Bull. Math. 37, No. 5, 659--681 (2013; Zbl 1299.15003) OpenURL
Neuman, Edward Bounds for entries of the inverse matrix of a tridiagonal matrix. (English) Zbl 1291.15058 Appl. Math. Comput. 219, No. 17, 9210-9212 (2013). MSC: 15A45 15A09 65F50 PDF BibTeX XML Cite \textit{E. Neuman}, Appl. Math. Comput. 219, No. 17, 9210--9212 (2013; Zbl 1291.15058) Full Text: DOI OpenURL
Berenhaut, Kenneth S.; Vish, Nathaniel G. Equations of convolution type with monotone coefficients. (English) Zbl 1220.39001 J. Difference Equ. Appl. 17, No. 4, 555-566 (2011). Reviewer: Miloš Čanak (Beograd) MSC: 39A06 39A22 39A30 60K05 15A09 15A60 PDF BibTeX XML Cite \textit{K. S. Berenhaut} and \textit{N. G. Vish}, J. Difference Equ. Appl. 17, No. 4, 555--566 (2011; Zbl 1220.39001) Full Text: DOI OpenURL
Shparlinski, Igor E. On a generalisation of a Lehmer problem. (English) Zbl 1269.11068 Math. Z. 263, No. 3, 619-631 (2009). MSC: 11K36 11L40 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Math. Z. 263, No. 3, 619--631 (2009; Zbl 1269.11068) Full Text: DOI arXiv OpenURL
Liu, Xiao-Qin; Huang, Ting-Zhu; Fu, Ying-Ding Estimates for the inverse elements of tridiagonal matrices. (English) Zbl 1173.15302 Appl. Math. Lett. 19, No. 6, 590-598 (2006). Reviewer: Witold Więsław (Wrocław) MSC: 15A09 PDF BibTeX XML Cite \textit{X.-Q. Liu} et al., Appl. Math. Lett. 19, No. 6, 590--598 (2006; Zbl 1173.15302) Full Text: DOI OpenURL
Mitrea, Irina Boundary problems for harmonic functions and norm estimates for inverses of singular integrals in two dimensions. (English) Zbl 1088.45001 Numer. Funct. Anal. Optimization 26, No. 7-8, 851-878 (2005). Reviewer: Vasily A. Chernecky (Odessa) MSC: 45-06 47A05 35J25 42B20 45E05 PDF BibTeX XML Cite \textit{I. Mitrea}, Numer. Funct. Anal. Optim. 26, No. 7--8, 851--878 (2005; Zbl 1088.45001) Full Text: DOI OpenURL
Ramachandran, P. A. Method of fundamental solutions: Singular value decomposition analysis. (English) Zbl 1016.65095 Commun. Numer. Methods Eng. 18, No. 11, 789-801 (2002). MSC: 65N38 35J05 65N35 65N12 65N15 PDF BibTeX XML Cite \textit{P. A. Ramachandran}, Commun. Numer. Methods Eng. 18, No. 11, 789--801 (2002; Zbl 1016.65095) Full Text: DOI OpenURL
Tsuchiya, T.; Fang, Q. An explicit inversion formula for tridiagonal matrices. (English) Zbl 1003.65017 Alefeld, G. (ed.) et al., Topics in numerical analysis. With special emphasis on nonlinear problems. Dedicated to Prof. Tetsuro Yamamoto on his 65th birthday. Wien: Springer. Comput. Suppl. 15, 227-238 (2001). Reviewer: Lubomír Bakule (Praha) MSC: 65F05 65L12 65L70 15A09 34B05 65L10 PDF BibTeX XML Cite \textit{T. Tsuchiya} and \textit{Q. Fang}, Comput. Suppl. 15, 227--238 (2001; Zbl 1003.65017) OpenURL
Peluso, R.; Politi, T. Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices. (English) Zbl 0978.15018 Linear Algebra Appl. 330, No. 1-3, 1-14 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 15A45 15A09 65F10 PDF BibTeX XML Cite \textit{R. Peluso} and \textit{T. Politi}, Linear Algebra Appl. 330, No. 1--3, 1--14 (2001; Zbl 0978.15018) Full Text: DOI OpenURL
Korkee, Ismo; Haukkanen, Pentti Bounds for determinants of meet matrices associated with incidence functions. (English) Zbl 0991.15011 Linear Algebra Appl. 329, No. 1-3, 77-88 (2001). Reviewer: Kim Hang Kim (Montgomery) MSC: 15A45 15A15 15A09 15B33 06C10 PDF BibTeX XML Cite \textit{I. Korkee} and \textit{P. Haukkanen}, Linear Algebra Appl. 329, No. 1--3, 77--88 (2001; Zbl 0991.15011) Full Text: DOI OpenURL
Dobner, H.-J. Numerical bounds for inverses of linear operators. (English) Zbl 1265.65267 Publ. Inst. Math., Nouv. Sér. 67(81), 85-91 (2000). MSC: 65R20 45P05 68W30 45B05 45D05 45A05 PDF BibTeX XML Cite \textit{H. J. Dobner}, Publ. Inst. Math., Nouv. Sér. 67(81), 85--91 (2000; Zbl 1265.65267) OpenURL
Davis, H. Ted; Thomson, Kendall T. Linear algebra and linear operators in engineering. With applications in Mathematica. (English) Zbl 0959.65001 Process Systems Engineering. 3. San Diego, CA: Academic Press. xii, 547 p. (2000). Reviewer: A.Bultheel (Leuven) MSC: 65-01 15-01 47-01 00A06 68W30 15A15 15A03 15A09 15A06 15A18 65F05 65F10 65F15 65H10 46C05 47E05 47G10 34L15 65L15 PDF BibTeX XML Cite \textit{H. T. Davis} and \textit{K. T. Thomson}, Linear algebra and linear operators in engineering. With applications in Mathematica. San Diego, CA: Academic Press (2000; Zbl 0959.65001) OpenURL
Wei, Yimin On the perturbation of the group inverse and oblique projection. (English) Zbl 0927.15004 Appl. Math. Comput. 98, No. 1, 29-42 (1999). Reviewer: Alexey Alimov (Moskva) MSC: 15A09 15A45 15A60 PDF BibTeX XML Cite \textit{Y. Wei}, Appl. Math. Comput. 98, No. 1, 29--42 (1999; Zbl 0927.15004) Full Text: DOI OpenURL
Stanimitrović, P. S.; Djordjević, D. S. Universal iterative methods for computing generalized inverses. (English) Zbl 0907.65041 Acta Math. Hung. 79, No. 3, 253-268 (1998). Reviewer: Miroslav Engliš (Praha) MSC: 65F20 65F10 15A09 PDF BibTeX XML Cite \textit{P. S. Stanimitrović} and \textit{D. S. Djordjević}, Acta Math. Hung. 79, No. 3, 253--268 (1998; Zbl 0907.65041) Full Text: DOI OpenURL
Shivakumar, P. N.; Ji, Chuanxiang Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices. (English) Zbl 0862.65015 Linear Algebra Appl. 247, 297-316 (1996). Reviewer: P.Narain (Bombay) MSC: 65F05 15A09 33C10 33E10 65D20 15A45 PDF BibTeX XML Cite \textit{P. N. Shivakumar} and \textit{C. Ji}, Linear Algebra Appl. 247, 297--316 (1996; Zbl 0862.65015) Full Text: DOI OpenURL
Herzberger, J. Iterative methods for the inclusion of the inverse of a matrix. (English) Zbl 0814.65031 Herzberger, Jürgen, Topics in validated computations. Proceedings of the IMACS-GAMM international workshop, Oldenburg, Germany, 30 August - 3 September 1993. Amsterdam: Elsevier. Stud. Comput. Math. 5, 137-171 (1994). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65F10 65G30 15A09 PDF BibTeX XML Cite \textit{J. Herzberger}, Stud. Comput. Math. 5, 137--171 (1994; Zbl 0814.65031) OpenURL
Baxter, B. J. C.; Micchelli, C. A. E. Norm estimates for the \(l^ 2\)-inverses of multivariate Toeplitz matrices. (English) Zbl 0790.15024 Numer. Algorithms 6, No. 1-2, 103-117 (1994). Reviewer: N.M.Zobin (Haifa) MSC: 15A60 15A45 PDF BibTeX XML Cite \textit{B. J. C. Baxter} and \textit{C. A. E. Micchelli}, Numer. Algorithms 6, No. 1--2, 103--117 (1994; Zbl 0790.15024) Full Text: DOI OpenURL
Yu, Jie-Tai Computing minimal polynomials and the inverse via GCP. (English) Zbl 0792.12001 Commun. Algebra 21, No. 7, 2279-2294 (1993). MSC: 12D99 13P10 13B25 PDF BibTeX XML Cite \textit{J.-T. Yu}, Commun. Algebra 21, No. 7, 2279--2294 (1993; Zbl 0792.12001) Full Text: DOI OpenURL
Pasupathy, J.; Damodar, R. A. The Gaussian Toeplitz matrix. (English) Zbl 0758.65019 Linear Algebra Appl. 171, 133-147 (1992). Reviewer: F.Móricz (Szeged) MSC: 65F05 15B57 15A23 15A09 15A15 15A42 PDF BibTeX XML Cite \textit{J. Pasupathy} and \textit{R. A. Damodar}, Linear Algebra Appl. 171, 133--147 (1992; Zbl 0758.65019) Full Text: DOI OpenURL
Linzer, Elliot; Vetterli, Martin Structure and arithmetic complexity of products and inverses of Toeplitz matrices. (English) Zbl 0722.15006 Linear Algebra Appl. 145, 159-175 (1991). Reviewer: S.L.Campbell (Raleigh) MSC: 15A09 65F05 65Y20 65F30 PDF BibTeX XML Cite \textit{E. Linzer} and \textit{M. Vetterli}, Linear Algebra Appl. 145, 159--175 (1991; Zbl 0722.15006) Full Text: DOI Link OpenURL
Fabiano, A.; Marino, V. Bounds for the degree of the entries of generalized inverses of polynomial matrices. (English) Zbl 0788.15009 Rend. Ist. Mat. Univ. Trieste 22, No. 1-2, 126-135 (1990). Reviewer: Y.Kuo (Knoxville) MSC: 15A54 15A09 15A45 PDF BibTeX XML Cite \textit{A. Fabiano} and \textit{V. Marino}, Rend. Ist. Mat. Univ. Trieste 22, No. 1--2, 126--135 (1990; Zbl 0788.15009) OpenURL
Codenotti, B. The matrix equation \(MX+XN=B\) in the VLSI model. (English) Zbl 0653.65029 Int. J. Comput. Math. 19, No. 1, 93-98 (1986). MSC: 65F30 65F05 68Q25 15A24 15A09 PDF BibTeX XML Cite \textit{B. Codenotti}, Int. J. Comput. Math. 19, No. 1, 93--98 (1986; Zbl 0653.65029) Full Text: DOI OpenURL
Izumino, Saichi (ed.) [Chō, Muneo; Nakamura, Yoshihiro; Kamei, Eizaburo; Goya, Eitoku; Hoshino, Akira; Kato, Yoshinobu; Bhatia, Rajendra; Maeda, Osamu; Ando, Tsuyoshi; Tanahashi, Kôtarô; Fujii, Junichi; Yoshino, Takashi; Takahashi, Katsutoshi; Ôta, Schôichi; Uchiyama, Mitsuru; Fujii, M.; Lin, C.-S.] Linear operator theory. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, December 4- 7, 1985. (Japanese) Zbl 0643.47001 RIMS Kokyuroku, 582. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 144 p. (1986). MSC: 47-06 47A05 47A10 47B38 00B25 47B40 47A20 47A15 PDF BibTeX XML OpenURL
Berg, L. Lineare Gleichungssysteme mit Bandstruktur und ihr asymptotisches Verhalten. (German) Zbl 0613.15004 Berlin: VEB Deutscher Verlag der Wissenschaften. 247 S. (1986). MSC: 15A06 15-02 65-02 15A15 05B20 05C50 15A12 15A24 15B57 15A09 15A60 40A15 65Q05 39A10 39A11 65F05 65L20 65F50 65L60 65M12 65M15 65N12 65N22 65N30 PDF BibTeX XML OpenURL
Berg, Lothar Lineare Gleichungssysteme mit Bandstruktur und ihr asymptotisches Verhalten. (Lizenzausg.). (German) Zbl 0613.15003 München-Wien: Carl Hanser Verlag. 247 S. (Orig. VEB Deutscher Verlag der Wissenschaften, Berlin) (1986). Reviewer: F.Uhlig MSC: 15A06 15-02 65-02 05B20 05C50 15A12 15A24 15B57 15A09 15A15 15A60 40A15 65Q05 39A10 39A11 65F05 65L20 65F50 65L60 65M12 65M15 65N12 65N22 65N30 PDF BibTeX XML OpenURL
Lancaster, Peter; Tismenetsky, Miron The theory of matrices. 2nd ed., with applications. (English) Zbl 0558.15001 Computer Science and Applied Mathematics. Orlando etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XV, 570 p. $ 59.00 (1985). Reviewer: A.G.Ramm MSC: 15-02 34Dxx 39A11 93Dxx 65Fxx PDF BibTeX XML OpenURL
Nwokah, Osita D. I. Estimates for the inverse of a matrix and bounds for eigenvalues. (English) Zbl 0415.15007 Linear Algebra Appl. 22, 283-291 (1978). MSC: 15A45 15A18 15A09 PDF BibTeX XML Cite \textit{O. D. I. Nwokah}, Linear Algebra Appl. 22, 283--291 (1978; Zbl 0415.15007) Full Text: DOI OpenURL